Abstract: In this paper, an approach and the model for solving fuzzy linear programming (FLP) problems with some relevance's of the satisfaction of the fuzzy constraints are studied. The flexibility of the decision making (DM) for constructed model as a new approach is proposed. This encourages different weights to be assigned to limitations and to the goal purpose. A crisp question managed by a parameter has been resolved to find the required solution. The feasibility of the model suggested and its impact on the solution is addressed. The results show that the desired optimization can be obtained by admitting the decision making levels of preference for constraints. To illustrate the efficiency of the model for solving the FLP problem a numerical example is solved.